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3745414440 = 2332597283379
BaseRepresentation
bin1101111100111110…
…0111110100101000
3100200000122202201100
43133033213310220
530132311230230
61415353121400
7161546332425
oct33717476450
910600582640
103745414440
111652209339
128863b9260
13478c64a81
14277602d4c
1516dc37660
hexdf3e7d28

3745414440 has 192 divisors, whose sum is σ = 12374107200. Its totient is φ = 982388736.

The previous prime is 3745414433. The next prime is 3745414447. The reversal of 3745414440 is 444145473.

3745414440 is a `hidden beast` number, since 3 + 74 + 541 + 4 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3745414433) and next prime (3745414447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3745414395 and 3745414404.

It is not an unprimeable number, because it can be changed into a prime (3745414447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9882171 + ... + 9882549.

It is an arithmetic number, because the mean of its divisors is an integer number (64448475).

Almost surely, 23745414440 is an apocalyptic number.

3745414440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187053600).

3745414440 is an abundant number, since it is smaller than the sum of its proper divisors (8628692760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3745414440 is a wasteful number, since it uses less digits than its factorization.

3745414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 3745414440 is about 61199.7911761143. The cubic root of 3745414440 is about 1552.9827324097.

The spelling of 3745414440 in words is "three billion, seven hundred forty-five million, four hundred fourteen thousand, four hundred forty".