34265780640 has 576 divisors, whose sum is σ = 145297152000. Its totient is φ = 7160389632.

The previous prime is 34265780629. The next prime is 34265780671. The reversal of 34265780640 is 4608756243.

34265780640 is a `hidden beast` number, since 34 + 2 + 6 + 578 + 0 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14282161 + ... + 14284559.

It is an arithmetic number, because the mean of its divisors is an integer number (252252000).

Almost surely, 2^34265780640 is an apocalyptic number.

34265780640 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 34265780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576000).

34265780640 is an abundant number, since it is smaller than the sum of its proper divisors (111031371360).

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

34265780640 is a wasteful number, since it uses less digits than its factorization.

34265780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34265780640 in words is "thirty-four billion, two hundred sixty-five million, seven hundred eighty thousand, six hundred forty".