3562790400 has 720 divisors, whose sum is σ = 14392627920. Its totient is φ = 862617600.

The previous prime is 3562790383. The next prime is 3562790443. The reversal of 3562790400 is 40972653.

3562790400 is a `hidden beast` number, since 3 + 562 + 7 + 90 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58406370 + ... + 58406430.

It is an arithmetic number, because the mean of its divisors is an integer number (19989761).

Almost surely, 2^3562790400 is an apocalyptic number.

3562790400 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 3562790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196313960).

3562790400 is an abundant number, since it is smaller than the sum of its proper divisors (10829837520).

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

3562790400 is a wasteful number, since it uses less digits than its factorization.

3562790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3562790400 is about 59689.1145854921. The cubic root of 3562790400 is about 1527.3201840541.

The spelling of 3562790400 in words is "three billion, five hundred sixty-two million, seven hundred ninety thousand, four hundred".