3145552400 has 30 divisors (see below), whose sum is σ = 7557190602. Its totient is φ = 1258220800.

The previous prime is 3145552369. The next prime is 3145552433. The reversal of 3145552400 is 42555413.

3145552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 77721856 + 3067830544 = 8816^2 + 55388^2 .

It is a super-2 number, since 2×3145552400² = 19788999802291520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3931541 + ... + 3932340.

Almost surely, 2^3145552400 is an apocalyptic number.

It is an amenable number.

3145552400 is an abundant number, since it is smaller than the sum of its proper divisors (4411638202).

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

3145552400 is a wasteful number, since it uses less digits than its factorization.

3145552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863899 (or 7863888 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 3145552400 is about 56085.2244356747. The cubic root of 3145552400 is about 1465.2069659878.

The spelling of 3145552400 in words is "three billion, one hundred forty-five million, five hundred fifty-two thousand, four hundred".