3395426107392 has 1440 divisors, whose sum is σ = 11926424659968. Its totient is φ = 955514880000.

The previous prime is 3395426107387. The next prime is 3395426107393. The reversal of 3395426107392 is 2937016245933.

3395426107392 is a `hidden beast` number, since 3 + 3 + 9 + 542 + 6 + 1 + 0 + 7 + 3 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3395426107393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55662723042 + ... + 55662723102.

Almost surely, 2^{3395426107392} is an apocalyptic number.

3395426107392 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 3395426107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963212329984).

3395426107392 is an abundant number, since it is smaller than the sum of its proper divisors (8530998552576).

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

3395426107392 is an equidigital number, since it uses as much as digits as its factorization.

3395426107392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3395426107392 in words is "three trillion, three hundred ninety-five billion, four hundred twenty-six million, one hundred seven thousand, three hundred ninety-two".