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3748970560 = 265171922383
BaseRepresentation
bin1101111101110100…
…1100000001000000
3100200021100102210111
43133131030001000
530134214024220
61420001241104
7161621503216
oct33735140100
910607312714
103748970560
111654218085
12887633194
1347990b59a
14277c8acb6
1516e1db15a
hexdf74c040

3748970560 has 336 divisors, whose sum is σ = 10535204736. Its totient is φ = 1263550464.

The previous prime is 3748970551. The next prime is 3748970567. The reversal of 3748970560 is 650798473.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3748970567) 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, 45168279 + ... + 45168361.

It is an arithmetic number, because the mean of its divisors is an integer number (31354776).

Almost surely, 23748970560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3748970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267602368).

3748970560 is an abundant number, since it is smaller than the sum of its proper divisors (6786234176).

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

3748970560 is a wasteful number, since it uses less digits than its factorization.

3748970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 3748970560 is about 61228.8376502445. The cubic root of 3748970560 is about 1553.4740751024.

The spelling of 3748970560 in words is "three billion, seven hundred forty-eight million, nine hundred seventy thousand, five hundred sixty".