1377008352 has 72 divisors (see below), whose sum is σ = 3940025544. Its totient is φ = 456171264.

The previous prime is 1377008341. The next prime is 1377008357. The reversal of 1377008352 is 2538007731.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377008357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32278 + ... + 61610.

It is an arithmetic number, because the mean of its divisors is an integer number (54722577).

Almost surely, 2^1377008352 is an apocalyptic number.

1377008352 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 1377008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970012772).

1377008352 is an abundant number, since it is smaller than the sum of its proper divisors (2563017192).

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

1377008352 is a wasteful number, since it uses less digits than its factorization.

1377008352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29512 (or 29501 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1377008352 is about 37108.0631669183. The cubic root of 1377008352 is about 1112.5311800713.

The spelling of 1377008352 in words is "one billion, three hundred seventy-seven million, eight thousand, three hundred fifty-two".