3252400440 has 128 divisors (see below), whose sum is σ = 10159974720. Its totient is φ = 832204800.

The previous prime is 3252400421. The next prime is 3252400493. The reversal of 3252400440 is 440042523.

3252400440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3252400440² = 21156217244224387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3252400440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294702 + ... + 305538.

Almost surely, 2^3252400440 is an apocalyptic number.

3252400440 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 3252400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079987360).

3252400440 is an abundant number, since it is smaller than the sum of its proper divisors (6907574280).

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

3252400440 is a wasteful number, since it uses less digits than its factorization.

3252400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10953 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3252400440 is about 57029.8206204438. The cubic root of 3252400440 is about 1481.6126262030.

Adding to 3252400440 its reverse (440042523), we get a palindrome (3692442963).

The spelling of 3252400440 in words is "three billion, two hundred fifty-two million, four hundred thousand, four hundred forty".