3076886400 has 576 divisors, whose sum is σ = 12227074560. Its totient is φ = 677376000.

The previous prime is 3076886383. The next prime is 3076886419. The reversal of 3076886400 is 46886703.

3076886400 is digitally balanced in base 2 and base 4, because in such bases 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 (42).

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, 14582295 + ... + 14582505.

It is an arithmetic number, because the mean of its divisors is an integer number (21227560).

Almost surely, 2^3076886400 is an apocalyptic number.

3076886400 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 3076886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113537280).

3076886400 is an abundant number, since it is smaller than the sum of its proper divisors (9150188160).

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

3076886400 is a wasteful number, since it uses less digits than its factorization.

3076886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3076886400 is about 55469.6890202208. The cubic root of 3076886400 is about 1454.4668279468.

The spelling of 3076886400 in words is "three billion, seventy-six million, eight hundred eighty-six thousand, four hundred".