1377408032 has 144 divisors (see below), whose sum is σ = 3706601472. Its totient is φ = 495290880.

The previous prime is 1377408029. The next prime is 1377408037. The reversal of 1377408032 is 2308047731.

It is a super-2 number, since 2×1377408032² = 3794505773236226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1377407983 and 1377408001.

It is not an unprimeable number, because it can be changed into a prime (1377408037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221153 + ... + 227295.

It is an arithmetic number, because the mean of its divisors is an integer number (25740288).

Almost surely, 2^1377408032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736).

1377408032 is an abundant number, since it is smaller than the sum of its proper divisors (2329193440).

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

1377408032 is a wasteful number, since it uses less digits than its factorization.

1377408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 1377408032 is about 37113.4481286770. The cubic root of 1377408032 is about 1112.6388079462.

The spelling of 1377408032 in words is "one billion, three hundred seventy-seven million, four hundred eight thousand, thirty-two".