3338463515940 has 288 divisors, whose sum is σ = 12286487566080. Its totient is φ = 716293767168.

The previous prime is 3338463515909. The next prime is 3338463515987. The reversal of 3338463515940 is 495153648333.

3338463515940 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 46 + 3 + 5 + 1 + 594 + 0 = 666.

It is a super-2 number, since 2×3338463515940² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7912564 + ... + 8323796.

It is an arithmetic number, because the mean of its divisors is an integer number (42661415160).

Almost surely, 2^{3338463515940} is an apocalyptic number.

3338463515940 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 3338463515940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143243783040).

3338463515940 is an abundant number, since it is smaller than the sum of its proper divisors (8948024050140).

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

3338463515940 is a wasteful number, since it uses less digits than its factorization.

3338463515940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411651 (or 411646 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3338463515940 in words is "three trillion, three hundred thirty-eight billion, four hundred sixty-three million, five hundred fifteen thousand, nine hundred forty".