3047906400 has 288 divisors, whose sum is σ = 12369708288. Its totient is φ = 633292800.

The previous prime is 3047906359. The next prime is 3047906417. The reversal of 3047906400 is 46097403.

3047906400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176554 + ... + 193046.

It is an arithmetic number, because the mean of its divisors is an integer number (42950376).

Almost surely, 2^3047906400 is an apocalyptic number.

3047906400 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 3047906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184854144).

3047906400 is an abundant number, since it is smaller than the sum of its proper divisors (9321801888).

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

3047906400 is a wasteful number, since it uses less digits than its factorization.

3047906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16534 (or 16521 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3047906400 is about 55207.8472683005. The cubic root of 3047906400 is about 1449.8860631838.

The spelling of 3047906400 in words is "three billion, forty-seven million, nine hundred six thousand, four hundred".