3394253970432 has 1408 divisors, whose sum is σ = 11789965393920. Its totient is φ = 956470394880.

The previous prime is 3394253970389. The next prime is 3394253970433. The reversal of 3394253970432 is 2340793524933.

3394253970432 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 2 + 539 + 70 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394253970433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26726409153 + ... + 26726409279.

Almost surely, 2^{3394253970432} is an apocalyptic number.

3394253970432 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 3394253970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894982696960).

3394253970432 is an abundant number, since it is smaller than the sum of its proper divisors (8395711423488).

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

3394253970432 is a wasteful number, since it uses less digits than its factorization.

3394253970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 3394253970432 in words is "three trillion, three hundred ninety-four billion, two hundred fifty-three million, nine hundred seventy thousand, four hundred thirty-two".