38376344698920 has 384 divisors, whose sum is σ = 136814990457600. Its totient is φ = 9654652237824.

The previous prime is 38376344698907. The next prime is 38376344698933. The reversal of 38376344698920 is 2989644367383.

38376344698920 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 6 + 3 + 446 + 98 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38376344698907) and next prime (38376344698933).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15144126 + ... + 17495634.

It is an arithmetic number, because the mean of its divisors is an integer number (356289037650).

Almost surely, 2^{38376344698920} is an apocalyptic number.

38376344698920 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 38376344698920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68407495228800).

38376344698920 is an abundant number, since it is smaller than the sum of its proper divisors (98438645758680).

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

38376344698920 is a wasteful number, since it uses less digits than its factorization.

38376344698920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351631 (or 2351615 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 38376344698920 in words is "thirty-eight trillion, three hundred seventy-six billion, three hundred forty-four million, six hundred ninety-eight thousand, nine hundred twenty".