3139886400 has 672 divisors, whose sum is σ = 13062021120. Its totient is φ = 643399680.

The previous prime is 3139886369. The next prime is 3139886437. The reversal of 3139886400 is 46889313.

It is a happy number.

3139886400 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 tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 13137481 + ... + 13137719.

Almost surely, 2^3139886400 is an apocalyptic number.

3139886400 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 3139886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531010560).

3139886400 is an abundant number, since it is smaller than the sum of its proper divisors (9922134720).

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

3139886400 is a wasteful number, since it uses less digits than its factorization.

3139886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3139886400 is about 56034.6892558529. The cubic root of 3139886400 is about 1464.3266911056.

The spelling of 3139886400 in words is "three billion, one hundred thirty-nine million, eight hundred eighty-six thousand, four hundred".