1387932000 has 768 divisors, whose sum is σ = 5917556736. Its totient is φ = 276480000.

The previous prime is 1387931983. The next prime is 1387932149. The reversal of 1387932000 is 2397831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33851980 + ... + 33852020.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2^1387932000 is an apocalyptic number.

1387932000 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 1387932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958778368).

1387932000 is an abundant number, since it is smaller than the sum of its proper divisors (4529624736).

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

1387932000 is a wasteful number, since it uses less digits than its factorization.

1387932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1387932000 is about 37254.9594014005. The cubic root of 1387932000 is about 1115.4652954231.

The spelling of 1387932000 in words is "one billion, three hundred eighty-seven million, nine hundred thirty-two thousand".