3906537465600 has 4860 divisors, whose sum is σ = 19529617149504. Its totient is φ = 766402560000.

The previous prime is 3906537465581. The next prime is 3906537465613. The reversal of 3906537465600 is 65647356093.

3906537465600 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 5 + 3 + 74 + 6 + 560 + 0 = 666.

It is a super-2 number, since 2×3906537465600² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 95281401580 + ... + 95281401620.

Almost surely, 2^{3906537465600} is an apocalyptic number.

3906537465600 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 3906537465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764808574752).

3906537465600 is an abundant number, since it is smaller than the sum of its proper divisors (15623079683904).

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

3906537465600 is a wasteful number, since it uses less digits than its factorization.

3906537465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 3906537465600 in words is "three trillion, nine hundred six billion, five hundred thirty-seven million, four hundred sixty-five thousand, six hundred".