3395354257152 has 864 divisors, whose sum is σ = 11984490685440. Its totient is φ = 945183375360.

The previous prime is 3395354257129. The next prime is 3395354257171. The reversal of 3395354257152 is 2517524535933.

3395354257152 is a `hidden beast` number, since 3 + 3 + 9 + 535 + 4 + 2 + 57 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3395354257152² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2126082018 + ... + 2126083614.

Almost surely, 2^{3395354257152} is an apocalyptic number.

3395354257152 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 3395354257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992245342720).

3395354257152 is an abundant number, since it is smaller than the sum of its proper divisors (8589136428288).

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

3395354257152 is a wasteful number, since it uses less digits than its factorization.

3395354257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1865 counting only the distinct ones).

The product of its digits is 17010000, while the sum is 54.

The spelling of 3395354257152 in words is "three trillion, three hundred ninety-five billion, three hundred fifty-four million, two hundred fifty-seven thousand, one hundred fifty-two".