37970695381008 has 320 divisors, whose sum is σ = 116057629336320. Its totient is φ = 10594669363200.

The previous prime is 37970695380997. The next prime is 37970695381093. The reversal of 37970695381008 is 80018359607973.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 37970695381008.

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 63 ways as a sum of consecutive naturals, for example, 25026168 + ... + 26500008.

It is an arithmetic number, because the mean of its divisors is an integer number (362680091676).

Almost surely, 2^{37970695381008} is an apocalyptic number.

37970695381008 is a gapful number since it is divisible by the number (38) 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 37970695381008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58028814668160).

37970695381008 is an abundant number, since it is smaller than the sum of its proper divisors (78086933955312).

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

37970695381008 is a wasteful number, since it uses less digits than its factorization.

37970695381008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473978 (or 1473972 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 37970695381008 in words is "thirty-seven trillion, nine hundred seventy billion, six hundred ninety-five million, three hundred eighty-one thousand, eight".