387504936 has 384 divisors, whose sum is σ = 1415232000. Its totient is φ = 94832640.

The previous prime is 387504907. The next prime is 387504941. The reversal of 387504936 is 639405783.

It is a junction number, because it is equal to n+sod(n) for n = 387504891 and 387504900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5457781 + ... + 5457851.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^387504936 is an apocalyptic number.

387504936 is a gapful number since it is divisible by the number (36) 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 387504936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

387504936 is an abundant number, since it is smaller than the sum of its proper divisors (1027727064).

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

387504936 is a wasteful number, since it uses less digits than its factorization.

387504936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 387504936 is about 19685.1450591556. The cubic root of 387504936 is about 729.0529634616.

The spelling of 387504936 in words is "three hundred eighty-seven million, five hundred four thousand, nine hundred thirty-six".