1372538880 has 288 divisors, whose sum is σ = 4863975480. Its totient is φ = 357826560.

The previous prime is 1372538863. The next prime is 1372538897. The reversal of 1372538880 is 888352731.

1372538880 is a `hidden beast` number, since 1 + 37 + 2 + 538 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1372538863) and next prime (1372538897).

It can be written as a sum of positive squares in 4 ways, for example, as 1282212864 + 90326016 = 35808^2 + 9504^2 .

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

It is a super-2 number, since 2×1372538880² = 3767725954223308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884340 + ... + 4884620.

Almost surely, 2^1372538880 is an apocalyptic number.

1372538880 is a gapful number since it is divisible by the number (10) 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 1372538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431987740).

1372538880 is an abundant number, since it is smaller than the sum of its proper divisors (3491436600).

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

1372538880 is a wasteful number, since it uses less digits than its factorization.

1372538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1372538880 is about 37047.7918370313. The cubic root of 1372538880 is about 1111.3261967024.

The spelling of 1372538880 in words is "one billion, three hundred seventy-two million, five hundred thirty-eight thousand, eight hundred eighty".