3390138905472 has 1152 divisors, whose sum is σ = 11830942749600. Its totient is φ = 922752122880.

The previous prime is 3390138905471. The next prime is 3390138905497. The reversal of 3390138905472 is 2745098310933.

3390138905472 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 1 + 3 + 8 + 90 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3390138905472² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390138905471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14549952268 + ... + 14549952500.

Almost surely, 2^{3390138905472} is an apocalyptic number.

3390138905472 is a gapful number since it is divisible by the number (32) 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 3390138905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915471374800).

3390138905472 is an abundant number, since it is smaller than the sum of its proper divisors (8440803844128).

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

3390138905472 is a wasteful number, since it uses less digits than its factorization.

3390138905472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3390138905472 in words is "three trillion, three hundred ninety billion, one hundred thirty-eight million, nine hundred five thousand, four hundred seventy-two".