387034752 has 256 divisors, whose sum is σ = 1189923840. Its totient is φ = 110592000.

The previous prime is 387034751. The next prime is 387034759. The reversal of 387034752 is 257430783.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 387034752.

It is not an unprimeable number, because it can be changed into a prime (387034751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6344802 + ... + 6344862.

It is an arithmetic number, because the mean of its divisors is an integer number (4648140).

Almost surely, 2^387034752 is an apocalyptic number.

387034752 is a gapful number since it is divisible by the number (32) 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 387034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594961920).

387034752 is an abundant number, since it is smaller than the sum of its proper divisors (802889088).

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

387034752 is a wasteful number, since it uses less digits than its factorization.

387034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 387034752 is about 19673.1988247972. The cubic root of 387034752 is about 728.7579755852.

The spelling of 387034752 in words is "three hundred eighty-seven million, thirty-four thousand, seven hundred fifty-two".