3234576400 has 240 divisors, whose sum is σ = 9101792448. Its totient is φ = 1091584000.

The previous prime is 3234576377. The next prime is 3234576463. The reversal of 3234576400 is 46754323.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6208140 + ... + 6208660.

Almost surely, 2^3234576400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550896224).

3234576400 is an abundant number, since it is smaller than the sum of its proper divisors (5867216048).

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

3234576400 is a wasteful number, since it uses less digits than its factorization.

3234576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 3234576400 is about 56873.3364591880. The cubic root of 3234576400 is about 1478.9011200179.

The spelling of 3234576400 in words is "three billion, two hundred thirty-four million, five hundred seventy-six thousand, four hundred".