34261959960 has 384 divisors, whose sum is σ = 119292264000. Its totient is φ = 8838512640.

The previous prime is 34261959917. The next prime is 34261959967. The reversal of 34261959960 is 6995916243.

34261959960 is a `hidden beast` number, since 3 + 42 + 6 + 1 + 9 + 599 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34261959897 and 34261959906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34261959967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59379192 + ... + 59379768.

Almost surely, 2^34261959960 is an apocalyptic number.

34261959960 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 34261959960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59646132000).

34261959960 is an abundant number, since it is smaller than the sum of its proper divisors (85030304040).

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

34261959960 is a wasteful number, since it uses less digits than its factorization.

34261959960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 34261959960 in words is "thirty-four billion, two hundred sixty-one million, nine hundred fifty-nine thousand, nine hundred sixty".