34501643820 has 720 divisors, whose sum is σ = 137110815072. Its totient is φ = 7211151360.

The previous prime is 34501643809. The next prime is 34501643861. The reversal of 34501643820 is 2834610543.

34501643820 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 1 + 643 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49929675 + ... + 49930365.

Almost surely, 2^34501643820 is an apocalyptic number.

34501643820 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 34501643820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68555407536).

34501643820 is an abundant number, since it is smaller than the sum of its proper divisors (102609171252).

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

34501643820 is a wasteful number, since it uses less digits than its factorization.

34501643820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34501643820 in words is "thirty-four billion, five hundred one million, six hundred forty-three thousand, eight hundred twenty".