33897961597440 has 320 divisors, whose sum is σ = 113095565991936. Its totient is φ = 8645183619072.

The previous prime is 33897961597397. The next prime is 33897961597499. The reversal of 33897961597440 is 4479516979833.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×33897961597440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243850367 + ... + 2243865473.

Almost surely, 2^{33897961597440} is an apocalyptic number.

33897961597440 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 33897961597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56547782995968).

33897961597440 is an abundant number, since it is smaller than the sum of its proper divisors (79197604394496).

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

33897961597440 is a wasteful number, since it uses less digits than its factorization.

33897961597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27859 (or 27843 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 75.

The spelling of 33897961597440 in words is "thirty-three trillion, eight hundred ninety-seven billion, nine hundred sixty-one million, five hundred ninety-seven thousand, four hundred forty".