3254640400 has 240 divisors, whose sum is σ = 8927428608. Its totient is φ = 1129536000.

The previous prime is 3254640379. The next prime is 3254640407. The reversal of 3254640400 is 40464523.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3254640407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14594689 + ... + 14594911.

Almost surely, 2^3254640400 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 3254640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463714304).

3254640400 is an abundant number, since it is smaller than the sum of its proper divisors (5672788208).

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

3254640400 is a wasteful number, since it uses less digits than its factorization.

3254640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3254640400 is about 57049.4557379823. The cubic root of 3254640400 is about 1481.9526818517.

The spelling of 3254640400 in words is "three billion, two hundred fifty-four million, six hundred forty thousand, four hundred".