3834491897600 has 216 divisors, whose sum is σ = 11681191418400. Its totient is φ = 1213553295360.

The previous prime is 3834491897597. The next prime is 3834491897603. The reversal of 3834491897600 is 67981944383.

It is an interprime number because it is at equal distance from previous prime (3834491897597) and next prime (3834491897603).

It is a super-2 number, since 2×3834491897600² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834491897603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709575 + ... + 3874374.

It is an arithmetic number, because the mean of its divisors is an integer number (54079589900).

Almost surely, 2^{3834491897600} is an apocalyptic number.

It is an amenable number.

3834491897600 is an abundant number, since it is smaller than the sum of its proper divisors (7846699520800).

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

3834491897600 is a wasteful number, since it uses less digits than its factorization.

3834491897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583995 (or 6583976 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 3834491897600 in words is "three trillion, eight hundred thirty-four billion, four hundred ninety-one million, eight hundred ninety-seven thousand, six hundred".