387034800 has 240 divisors, whose sum is σ = 1332176640. Its totient is φ = 95800320.

The previous prime is 387034799. The next prime is 387034811. The reversal of 387034800 is 8430783.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×387034800² = 299591872822080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021011 + ... + 1021389.

It is an arithmetic number, because the mean of its divisors is an integer number (5550736).

Almost surely, 2^387034800 is an apocalyptic number.

387034800 is a gapful number since it is divisible by the number (30) 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 387034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666088320).

387034800 is an abundant number, since it is smaller than the sum of its proper divisors (945141840).

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

387034800 is a wasteful number, since it uses less digits than its factorization.

387034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 387034800 is about 19673.2000447309. The cubic root of 387034800 is about 728.7580057120.

The spelling of 387034800 in words is "three hundred eighty-seven million, thirty-four thousand, eight hundred".