36971346720 has 576 divisors, whose sum is σ = 149136930432. Its totient is φ = 7675852800.

The previous prime is 36971346691. The next prime is 36971346721. The reversal of 36971346720 is 2764317963.

36971346720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36971346720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36971346721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31304530 + ... + 31305710.

It is an arithmetic number, because the mean of its divisors is an integer number (258918282).

Almost surely, 2^36971346720 is an apocalyptic number.

36971346720 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 36971346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74568465216).

36971346720 is an abundant number, since it is smaller than the sum of its proper divisors (112165583712).

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

36971346720 is a wasteful number, since it uses less digits than its factorization.

36971346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 36971346720 in words is "thirty-six billion, nine hundred seventy-one million, three hundred forty-six thousand, seven hundred twenty".