34421762000496 has 160 divisors (see below), whose sum is σ = 97347829562368. Its totient is φ = 10416095493120.

The previous prime is 34421762000471. The next prime is 34421762000519. The reversal of 34421762000496 is 69400026712443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262842585 + ... + 262973511.

Almost surely, 2^{34421762000496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34421762000496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48673914781184).

34421762000496 is an abundant number, since it is smaller than the sum of its proper divisors (62926067561872).

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

34421762000496 is a wasteful number, since it uses less digits than its factorization.

34421762000496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137919 (or 137913 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 34421762000496 in words is "thirty-four trillion, four hundred twenty-one billion, seven hundred sixty-two million, four hundred ninety-six", and thus it is an aban number.