32973382624 has 144 divisors (see below), whose sum is σ = 83948731776. Its totient is φ = 12623385600.

The previous prime is 32973382621. The next prime is 32973382627. The reversal of 32973382624 is 42628337923.

It is an interprime number because it is at equal distance from previous prime (32973382621) and next prime (32973382627).

It is a super-3 number, since 3×32973382624³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32973382621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605814 + ... + 657994.

It is an arithmetic number, because the mean of its divisors is an integer number (582977304).

Almost surely, 2^32973382624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32973382624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41974365888).

32973382624 is an abundant number, since it is smaller than the sum of its proper divisors (50975349152).

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

32973382624 is a wasteful number, since it uses less digits than its factorization.

32973382624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52249 (or 52234 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

The spelling of 32973382624 in words is "thirty-two billion, nine hundred seventy-three million, three hundred eighty-two thousand, six hundred twenty-four".