3425616696096 has 768 divisors, whose sum is σ = 12576936960000. Its totient is φ = 884472348672.

The previous prime is 3425616696079. The next prime is 3425616696097. The reversal of 3425616696096 is 6906966165243.

It is a happy number.

3425616696096 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 6 + 16 + 6 + 9 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3425616696097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1080975600 + ... + 1080978768.

It is an arithmetic number, because the mean of its divisors is an integer number (16376220000).

Almost surely, 2^{3425616696096} is an apocalyptic number.

3425616696096 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 3425616696096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288468480000).

3425616696096 is an abundant number, since it is smaller than the sum of its proper divisors (9151320263904).

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

3425616696096 is a wasteful number, since it uses less digits than its factorization.

3425616696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 3425616696096 in words is "three trillion, four hundred twenty-five billion, six hundred sixteen million, six hundred ninety-six thousand, ninety-six".