34742394720 has 384 divisors, whose sum is σ = 133689346560. Its totient is φ = 8356608000.

The previous prime is 34742394683. The next prime is 34742394733. The reversal of 34742394720 is 2749324743.

34742394720 is a `hidden beast` number, since 3 + 474 + 23 + 94 + 72 + 0 = 666.

34742394720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6222330 + ... + 6227910.

It is an arithmetic number, because the mean of its divisors is an integer number (348149340).

Almost surely, 2^34742394720 is an apocalyptic number.

34742394720 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 34742394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66844673280).

34742394720 is an abundant number, since it is smaller than the sum of its proper divisors (98946951840).

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

34742394720 is a wasteful number, since it uses less digits than its factorization.

34742394720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 34742394720 in words is "thirty-four billion, seven hundred forty-two million, three hundred ninety-four thousand, seven hundred twenty".