3250670400 has 336 divisors, whose sum is σ = 12109582080. Its totient is φ = 847872000.

The previous prime is 3250670393. The next prime is 3250670459. The reversal of 3250670400 is 40760523.

It is a happy number.

3250670400 is a `hidden beast` number, since 3 + 250 + 6 + 7 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2029600 + ... + 2031200.

Almost surely, 2^3250670400 is an apocalyptic number.

3250670400 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 3250670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054791040).

3250670400 is an abundant number, since it is smaller than the sum of its proper divisors (8858911680).

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

3250670400 is a wasteful number, since it uses less digits than its factorization.

3250670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3250670400 is about 57014.6507487330. The cubic root of 3250670400 is about 1481.3498762971.

The spelling of 3250670400 in words is "three billion, two hundred fifty million, six hundred seventy thousand, four hundred".