34794455040 has 240 divisors, whose sum is σ = 123717706560. Its totient is φ = 9277931520.

The previous prime is 34794455023. The next prime is 34794455057. The reversal of 34794455040 is 4055449743.

34794455040 is a `hidden beast` number, since 3 + 4 + 7 + 94 + 4 + 550 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34794455023) and next prime (34794455057).

It is a tau number, because it is divible by the number of its divisors (240).

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 15 ways as a sum of consecutive naturals, for example, 2203975 + ... + 2219705.

It is an arithmetic number, because the mean of its divisors is an integer number (515490444).

Almost surely, 2^34794455040 is an apocalyptic number.

34794455040 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 34794455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61858853280).

34794455040 is an abundant number, since it is smaller than the sum of its proper divisors (88923251520).

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

34794455040 is an equidigital number, since it uses as much as digits as its factorization.

34794455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15773 (or 15741 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 34794455040 in words is "thirty-four billion, seven hundred ninety-four million, four hundred fifty-five thousand, forty".