34193154240 has 896 divisors, whose sum is σ = 147193528320. Its totient is φ = 7302721536.

The previous prime is 34193154197. The next prime is 34193154251. The reversal of 34193154240 is 4245139143.

34193154240 is a `hidden beast` number, since 3 + 41 + 9 + 31 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34193154195 and 34193154204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65378619 + ... + 65379141.

Almost surely, 2^34193154240 is an apocalyptic number.

34193154240 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 34193154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73596764160).

34193154240 is an abundant number, since it is smaller than the sum of its proper divisors (113000374080).

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

34193154240 is a wasteful number, since it uses less digits than its factorization.

34193154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34193154240 in words is "thirty-four billion, one hundred ninety-three million, one hundred fifty-four thousand, two hundred forty".