37978416000000 has 2464 divisors, whose sum is σ = 169387081817600. Its totient is φ = 8211456000000.

The previous prime is 37978415999999. The next prime is 37978416000089. The reversal of 37978416000000 is 61487973.

37978416000000 is a `hidden beast` number, since 37 + 9 + 7 + 8 + 4 + 1 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 37978416000000.

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 223 ways as a sum of consecutive naturals, for example, 57455999670 + ... + 57456000330.

Almost surely, 2^{37978416000000} is an apocalyptic number.

37978416000000 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 37978416000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84693540908800).

37978416000000 is an abundant number, since it is smaller than the sum of its proper divisors (131408665817600).

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

37978416000000 is an frugal number, since it uses more digits than its factorization.

37978416000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 37978416000000 its reverse (61487973), we get a palindrome (37978477487973).

The spelling of 37978416000000 in words is "thirty-seven trillion, nine hundred seventy-eight billion, four hundred sixteen million", and thus it is an aban number.