3145382400 has 240 divisors, whose sum is σ = 10506390048. Its totient is φ = 829440000.

The previous prime is 3145382399. The next prime is 3145382413. The reversal of 3145382400 is 42835413.

3145382400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3877995 + ... + 3878805.

Almost surely, 2^3145382400 is an apocalyptic number.

3145382400 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 3145382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253195024).

3145382400 is an abundant number, since it is smaller than the sum of its proper divisors (7361007648).

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

3145382400 is a wasteful number, since it uses less digits than its factorization.

3145382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3145382400 is about 56083.7088645179. The cubic root of 3145382400 is about 1465.1805700230.

The spelling of 3145382400 in words is "three billion, one hundred forty-five million, three hundred eighty-two thousand, four hundred".