3332902871040 has 896 divisors, whose sum is σ = 11625901056000. Its totient is φ = 812824657920.

The previous prime is 3332902871033. The next prime is 3332902871087. The reversal of 3332902871040 is 401782092333.

It is a super-2 number, since 2×3332902871040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3332902870983 and 3332902871001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9549864786 + ... + 9549865134.

It is an arithmetic number, because the mean of its divisors is an integer number (12975336000).

Almost surely, 2^{3332902871040} is an apocalyptic number.

3332902871040 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 3332902871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812950528000).

3332902871040 is an abundant number, since it is smaller than the sum of its proper divisors (8292998184960).

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

3332902871040 is a wasteful number, since it uses less digits than its factorization.

3332902871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 3332902871040 in words is "three trillion, three hundred thirty-two billion, nine hundred two million, eight hundred seventy-one thousand, forty".