387668067400 has 48 divisors (see below), whose sum is σ = 901374200100. Its totient is φ = 155059322880.

The previous prime is 387668067373. The next prime is 387668067401. The reversal of 387668067400 is 4760866783.

It can be written as a sum of positive squares in 6 ways, for example, as 7943443876 + 379724623524 = 89126^2 + 616218^2 .

It is not an unprimeable number, because it can be changed into a prime (387668067401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5362696 + ... + 5434504.

Almost surely, 2^387668067400 is an apocalyptic number.

It is an amenable number.

387668067400 is an abundant number, since it is smaller than the sum of its proper divisors (513706132700).

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

387668067400 is a wasteful number, since it uses less digits than its factorization.

387668067400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98818 (or 98809 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 387668067400 in words is "three hundred eighty-seven billion, six hundred sixty-eight million, sixty-seven thousand, four hundred".