34040779290 has 192 divisors, whose sum is σ = 103783680000. Its totient is φ = 7579135872.

The previous prime is 34040779273. The next prime is 34040779291. The reversal of 34040779290 is 9297704043.

34040779290 is a `hidden beast` number, since 3 + 404 + 0 + 77 + 92 + 90 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34040779291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11349211 + ... + 11352209.

It is an arithmetic number, because the mean of its divisors is an integer number (540540000).

Almost surely, 2^34040779290 is an apocalyptic number.

34040779290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040779290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840000).

34040779290 is an abundant number, since it is smaller than the sum of its proper divisors (69742900710).

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

34040779290 is a wasteful number, since it uses less digits than its factorization.

34040779290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 34040779290 in words is "thirty-four billion, forty million, seven hundred seventy-nine thousand, two hundred ninety".