34570987920 has 560 divisors, whose sum is σ = 145008397440. Its totient is φ = 7484368896.

The previous prime is 34570987903. The next prime is 34570987949. The reversal of 34570987920 is 2978907543.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7754332 + ... + 7758788.

Almost surely, 2^34570987920 is an apocalyptic number.

34570987920 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 34570987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72504198720).

34570987920 is an abundant number, since it is smaller than the sum of its proper divisors (110437409520).

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

34570987920 is a wasteful number, since it uses less digits than its factorization.

34570987920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 34570987920 in words is "thirty-four billion, five hundred seventy million, nine hundred eighty-seven thousand, nine hundred twenty".