1377345312 has 288 divisors, whose sum is σ = 4654540800. Its totient is φ = 386104320.

The previous prime is 1377345311. The next prime is 1377345323. The reversal of 1377345312 is 2135437731.

1377345312 is a `hidden beast` number, since 137 + 73 + 453 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1377345311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7211137 + ... + 7211327.

It is an arithmetic number, because the mean of its divisors is an integer number (16161600).

Almost surely, 2^1377345312 is an apocalyptic number.

1377345312 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 1377345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327270400).

1377345312 is an abundant number, since it is smaller than the sum of its proper divisors (3277195488).

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

1377345312 is a wasteful number, since it uses less digits than its factorization.

1377345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 1377345312 is about 37112.6031423289. The cubic root of 1377345312 is about 1112.6219197612.

The spelling of 1377345312 in words is "one billion, three hundred seventy-seven million, three hundred forty-five thousand, three hundred twelve".