3453629400 has 720 divisors, whose sum is σ = 13939316160. Its totient is φ = 786931200.

The previous prime is 3453629393. The next prime is 3453629447. The reversal of 3453629400 is 49263543.

3453629400 is a `hidden beast` number, since 34 + 536 + 2 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 111407385 + ... + 111407415.

Almost surely, 2^3453629400 is an apocalyptic number.

3453629400 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 3453629400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969658080).

3453629400 is an abundant number, since it is smaller than the sum of its proper divisors (10485686760).

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

3453629400 is a wasteful number, since it uses less digits than its factorization.

3453629400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3453629400 is about 58767.5880056345. The cubic root of 3453629400 is about 1511.5594899649.

It can be divided in two parts, 34536 and 29400, that added together give a palindrome (63936).

The spelling of 3453629400 in words is "three billion, four hundred fifty-three million, six hundred twenty-nine thousand, four hundred".