3557705760 has 384 divisors, whose sum is σ = 14527296000. Its totient is φ = 813189888.

The previous prime is 3557705759. The next prime is 3557705771. The reversal of 3557705760 is 675077553.

3557705760 is a `hidden beast` number, since 3 + 5 + 5 + 7 + 70 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508243677 + ... + 508243683.

It is an arithmetic number, because the mean of its divisors is an integer number (37831500).

Almost surely, 2^3557705760 is an apocalyptic number.

3557705760 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 3557705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263648000).

3557705760 is an abundant number, since it is smaller than the sum of its proper divisors (10969590240).

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

3557705760 is an frugal number, since it uses more digits than its factorization.

3557705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The square root of 3557705760 is about 59646.5066873157. The cubic root of 3557705760 is about 1526.5932659442.

The spelling of 3557705760 in words is "three billion, five hundred fifty-seven million, seven hundred five thousand, seven hundred sixty".