3087400320 has 512 divisors, whose sum is σ = 11610864000. Its totient is φ = 774144000.

The previous prime is 3087400289. The next prime is 3087400333. The reversal of 3087400320 is 230047803.

It is a super-2 number, since 2×3087400320² = 19064081471872204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30568270 + ... + 30568370.

Almost surely, 2^3087400320 is an apocalyptic number.

3087400320 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 3087400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805432000).

3087400320 is an abundant number, since it is smaller than the sum of its proper divisors (8523463680).

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

3087400320 is a wasteful number, since it uses less digits than its factorization.

3087400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3087400320 is about 55564.3799569472. The cubic root of 3087400320 is about 1456.1216136393.

The spelling of 3087400320 in words is "three billion, eighty-seven million, four hundred thousand, three hundred twenty".