3338690793984 has 1440 divisors, whose sum is σ = 12670597779840. Its totient is φ = 869852971008.

The previous prime is 3338690793943. The next prime is 3338690794003. The reversal of 3338690793984 is 4893970968333.

3338690793984 is a `hidden beast` number, since 3 + 3 + 3 + 86 + 90 + 79 + 398 + 4 = 666.

It is a super-2 number, since 2×3338690793984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8163057972 + ... + 8163058380.

It is an arithmetic number, because the mean of its divisors is an integer number (8799026236).

Almost surely, 2^{3338690793984} 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 3338690793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335298889920).

3338690793984 is an abundant number, since it is smaller than the sum of its proper divisors (9331906985856).

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

3338690793984 is a wasteful number, since it uses less digits than its factorization.

3338690793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 3338690793984 in words is "three trillion, three hundred thirty-eight billion, six hundred ninety million, seven hundred ninety-three thousand, nine hundred eighty-four".