37868401336920 has 1920 divisors, whose sum is σ = 154110643545600. Its totient is φ = 7422887915520.

The previous prime is 37868401336877. The next prime is 37868401336979. The reversal of 37868401336920 is 2963310486873.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 66552550396 + ... + 66552550964.

It is an arithmetic number, because the mean of its divisors is an integer number (80265960180).

Almost surely, 2^{37868401336920} is an apocalyptic number.

37868401336920 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 37868401336920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77055321772800).

37868401336920 is an abundant number, since it is smaller than the sum of its proper divisors (116242242208680).

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

37868401336920 is a wasteful number, since it uses less digits than its factorization.

37868401336920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 37868401336920 in words is "thirty-seven trillion, eight hundred sixty-eight billion, four hundred one million, three hundred thirty-six thousand, nine hundred twenty".