3795075754560 has 224 divisors, whose sum is σ = 13485912088320. Its totient is φ = 1004632879104.

The previous prime is 3795075754543. The next prime is 3795075754577. The reversal of 3795075754560 is 654575705973.

3795075754560 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 0 + 7 + 575 + 4 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3795075754543) and next prime (3795075754577).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419404 + ... + 2786763.

It is an arithmetic number, because the mean of its divisors is an integer number (60204964680).

Almost surely, 2^{3795075754560} is an apocalyptic number.

3795075754560 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 3795075754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742956044160).

3795075754560 is an abundant number, since it is smaller than the sum of its proper divisors (9690836333760).

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

3795075754560 is a wasteful number, since it uses less digits than its factorization.

3795075754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206330 (or 3206314 counting only the distinct ones).

The product of its (nonzero) digits is 138915000, while the sum is 63.

The spelling of 3795075754560 in words is "three trillion, seven hundred ninety-five billion, seventy-five million, seven hundred fifty-four thousand, five hundred sixty".