34346096640 has 576 divisors, whose sum is σ = 125566459200. Its totient is φ = 8670412800.

The previous prime is 34346096639. The next prime is 34346096641. The reversal of 34346096640 is 4669064343.

34346096640 is a `hidden beast` number, since 3 + 4 + 34 + 609 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34346096639) and next prime (34346096641).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346096641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189757350 + ... + 189757530.

It is an arithmetic number, because the mean of its divisors is an integer number (217997325).

Almost surely, 2^34346096640 is an apocalyptic number.

34346096640 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 34346096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62783229600).

34346096640 is an abundant number, since it is smaller than the sum of its proper divisors (91220362560).

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

34346096640 is a wasteful number, since it uses less digits than its factorization.

34346096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 34346096640 in words is "thirty-four billion, three hundred forty-six million, ninety-six thousand, six hundred forty".