3357891795456 has 240 divisors, whose sum is σ = 10913153442048. Its totient is φ = 984718540800.

The previous prime is 3357891795443. The next prime is 3357891795469. The reversal of 3357891795456 is 6545971987533.

3357891795456 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 8 + 9 + 1 + 79 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3357891795443) and next prime (3357891795469).

It is a super-2 number, since 2×3357891795456² (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 23 ways as a sum of consecutive naturals, for example, 502840 + ... + 2639816.

Almost surely, 2^{3357891795456} is an apocalyptic number.

3357891795456 is a gapful number since it is divisible by the number (36) 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 3357891795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456576721024).

3357891795456 is an abundant number, since it is smaller than the sum of its proper divisors (7555261646592).

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

3357891795456 is a wasteful number, since it uses less digits than its factorization.

3357891795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137043 (or 2137024 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 3357891795456 in words is "three trillion, three hundred fifty-seven billion, eight hundred ninety-one million, seven hundred ninety-five thousand, four hundred fifty-six".