3370536652896 has 480 divisors, whose sum is σ = 11958657480000. Its totient is φ = 929796102144.

The previous prime is 3370536652853. The next prime is 3370536652897. The reversal of 3370536652896 is 6982566350733.

It is a happy number.

3370536652896 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 536 + 6 + 5 + 2 + 8 + 96 = 666.

It is a super-2 number, since 2×3370536652896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370536652897) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25717260 + ... + 25847988.

It is an arithmetic number, because the mean of its divisors is an integer number (24913869750).

Almost surely, 2^{3370536652896} is an apocalyptic number.

3370536652896 is a gapful number since it is divisible by the number (36) 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 3370536652896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979328740000).

3370536652896 is an abundant number, since it is smaller than the sum of its proper divisors (8588120827104).

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

3370536652896 is a wasteful number, since it uses less digits than its factorization.

3370536652896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130801 (or 130770 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 3370536652896 in words is "three trillion, three hundred seventy billion, five hundred thirty-six million, six hundred fifty-two thousand, eight hundred ninety-six".