3455193004032 has 768 divisors, whose sum is σ = 12689536204800. Its totient is φ = 807893729280.

The previous prime is 3455193004019. The next prime is 3455193004033. The reversal of 3455193004032 is 2304003915543.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3455193004032² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455193004033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184968069 + ... + 184986747.

It is an arithmetic number, because the mean of its divisors is an integer number (16522833600).

Almost surely, 2^{3455193004032} is an apocalyptic number.

3455193004032 is a gapful number since it is divisible by the number (32) 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 3455193004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344768102400).

3455193004032 is an abundant number, since it is smaller than the sum of its proper divisors (9234343200768).

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

3455193004032 is a wasteful number, since it uses less digits than its factorization.

3455193004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18762 (or 18742 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 3455193004032 its reverse (2304003915543), we get a palindrome (5759196919575).

The spelling of 3455193004032 in words is "three trillion, four hundred fifty-five billion, one hundred ninety-three million, four thousand, thirty-two".