3245990400 has 360 divisors, whose sum is σ = 12236143920. Its totient is φ = 819486720.

The previous prime is 3245990393. The next prime is 3245990401. The reversal of 3245990400 is 40995423.

3245990400 is a `hidden beast` number, since 3 + 24 + 599 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3245990401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2188059 + ... + 2189541.

Almost surely, 2^3245990400 is an apocalyptic number.

3245990400 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 3245990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118071960).

3245990400 is an abundant number, since it is smaller than the sum of its proper divisors (8990153520).

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

3245990400 is a wasteful number, since it uses less digits than its factorization.

3245990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3245990400 is about 56973.5938834825. The cubic root of 3245990400 is about 1480.6386335636.

The spelling of 3245990400 in words is "three billion, two hundred forty-five million, nine hundred ninety thousand, four hundred".