3462896667456 has 336 divisors, whose sum is σ = 11268198748800. Its totient is φ = 1039159554048.

The previous prime is 3462896667437. The next prime is 3462896667487. The reversal of 3462896667456 is 6547666982643.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15428485 + ... + 15651323.

It is an arithmetic number, because the mean of its divisors is an integer number (33536305800).

Almost surely, 2^{3462896667456} is an apocalyptic number.

3462896667456 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 3462896667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634099374400).

3462896667456 is an abundant number, since it is smaller than the sum of its proper divisors (7805302081344).

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

3462896667456 is a wasteful number, since it uses less digits than its factorization.

3462896667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222923 (or 222884 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 3462896667456 in words is "three trillion, four hundred sixty-two billion, eight hundred ninety-six million, six hundred sixty-seven thousand, four hundred fifty-six".