3234072400 has 60 divisors (see below), whose sum is σ = 8367553852. Its totient is φ = 1194117120.

The previous prime is 3234072377. The next prime is 3234072409. The reversal of 3234072400 is 42704323.

It can be written as a sum of positive squares in 6 ways, for example, as 418284304 + 2815788096 = 20452^2 + 53064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234072409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305769 + ... + 316168.

Almost surely, 2^3234072400 is an apocalyptic number.

It is an amenable number.

3234072400 is an abundant number, since it is smaller than the sum of its proper divisors (5133481452).

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

3234072400 is a wasteful number, since it uses less digits than its factorization.

3234072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621968 (or 621957 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 3234072400 is about 56868.9053877424. The cubic root of 3234072400 is about 1478.8243036862.

Adding to 3234072400 its reverse (42704323), we get a palindrome (3276776723).

The spelling of 3234072400 in words is "three billion, two hundred thirty-four million, seventy-two thousand, four hundred".