34300661760 has 1040 divisors, whose sum is σ = 137011184640. Its totient is φ = 8174960640.

The previous prime is 34300661749. The next prime is 34300661761. The reversal of 34300661760 is 6716600343.

It is a happy number.

34300661760 is a `hidden beast` number, since 3 + 4 + 30 + 0 + 6 + 617 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34300661761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1106472945 + ... + 1106472975.

Almost surely, 2^34300661760 is an apocalyptic number.

34300661760 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 34300661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68505592320).

34300661760 is an abundant number, since it is smaller than the sum of its proper divisors (102710522880).

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

34300661760 is a wasteful number, since it uses less digits than its factorization.

34300661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 34300661760 in words is "thirty-four billion, three hundred million, six hundred sixty-one thousand, seven hundred sixty".