34620923904000 has 544 divisors, whose sum is σ = 131677860827136. Its totient is φ = 7913314713600.

The previous prime is 34620923903981. The next prime is 34620923904023. The reversal of 34620923904000 is 40932902643.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 171931377 + ... + 172132623.

Almost surely, 2^{34620923904000} is an apocalyptic number.

34620923904000 is a gapful number since it is divisible by the number (30) 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 34620923904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65838930413568).

34620923904000 is an abundant number, since it is smaller than the sum of its proper divisors (97056936923136).

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

34620923904000 is an frugal number, since it uses more digits than its factorization.

34620923904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201304 (or 201264 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 34620923904000 in words is "thirty-four trillion, six hundred twenty billion, nine hundred twenty-three million, nine hundred four thousand".