1377415872 has 252 divisors, whose sum is σ = 4720407120. Its totient is φ = 382620672.

The previous prime is 1377415847. The next prime is 1377415891. The reversal of 1377415872 is 2785147731.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1043629 + ... + 1044947.

Almost surely, 2^1377415872 is an apocalyptic number.

1377415872 is a gapful number since it is divisible by the number (12) 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 1377415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360203560).

1377415872 is an abundant number, since it is smaller than the sum of its proper divisors (3342991248).

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

1377415872 is a wasteful number, since it uses less digits than its factorization.

1377415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1368 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 1377415872 is about 37113.5537506178. The cubic root of 1377415872 is about 1112.6409189333.

It can be divided in two parts, 13774 and 15872, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 1377415872 in words is "one billion, three hundred seventy-seven million, four hundred fifteen thousand, eight hundred seventy-two".