38401352766300 has 144 divisors (see below), whose sum is σ = 119399550439680. Its totient is φ = 9494135946240.

The previous prime is 38401352766241. The next prime is 38401352766313. The reversal of 38401352766300 is 366725310483.

It is a self number, because there is not a number n which added to its sum of digits gives 38401352766300.

It is a congruent number.

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, 55849920 + ... + 56533319.

It is an arithmetic number, because the mean of its divisors is an integer number (829163544720).

Almost surely, 2^{38401352766300} is an apocalyptic number.

38401352766300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38401352766300 is an abundant number, since it is smaller than the sum of its proper divisors (80998197673380).

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

38401352766300 is a wasteful number, since it uses less digits than its factorization.

38401352766300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112383340 (or 112383333 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 38401352766300 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, three hundred".