34154809920 has 1120 divisors, whose sum is σ = 153837192960. Its totient is φ = 6987202560.

The previous prime is 34154809919. The next prime is 34154809967. The reversal of 34154809920 is 2990845143.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 217546482 + ... + 217546638.

Almost surely, 2^34154809920 is an apocalyptic number.

34154809920 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 34154809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76918596480).

34154809920 is an abundant number, since it is smaller than the sum of its proper divisors (119682383040).

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

34154809920 is a wasteful number, since it uses less digits than its factorization.

34154809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 34154809920 in words is "thirty-four billion, one hundred fifty-four million, eight hundred nine thousand, nine hundred twenty".