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3745499940 = 22375713941
BaseRepresentation
bin1101111100111111…
…1100101100100100
3100200000211010000000
43133033330230210
530132321444230
61415355021300
7161550136620
oct33717745444
910600733000
103745499940
1116522675a6
1288643a830
13478c94970
14277626180
1516dc52b60
hexdf3fcb24

3745499940 has 384 divisors, whose sum is σ = 14534231040. Its totient is φ = 789419520.

The previous prime is 3745499911. The next prime is 3745499957. The reversal of 3745499940 is 499945473.

3745499940 is a `hidden beast` number, since 3 + 7 + 4 + 549 + 9 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3979870 + ... + 3980810.

It is an arithmetic number, because the mean of its divisors is an integer number (37849560).

Almost surely, 23745499940 is an apocalyptic number.

3745499940 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 3745499940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267115520).

3745499940 is an abundant number, since it is smaller than the sum of its proper divisors (10788731100).

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

3745499940 is a wasteful number, since it uses less digits than its factorization.

3745499940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3745499940 is about 61200.4897039231. The cubic root of 3745499940 is about 1552.9945494387.

The spelling of 3745499940 in words is "three billion, seven hundred forty-five million, four hundred ninety-nine thousand, nine hundred forty".