34362930240 has 224 divisors, whose sum is σ = 121352584320. Its totient is φ = 9153792000.

The previous prime is 34362930223. The next prime is 34362930311. The reversal of 34362930240 is 4203926343.

34362930240 is a `hidden beast` number, since 3 + 4 + 3 + 629 + 3 + 0 + 24 + 0 = 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 = 34362930195 and 34362930204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12535270 + ... + 12538010.

Almost surely, 2^34362930240 is an apocalyptic number.

34362930240 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 34362930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60676292160).

34362930240 is an abundant number, since it is smaller than the sum of its proper divisors (86989654080).

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

34362930240 is a wasteful number, since it uses less digits than its factorization.

34362930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34362930240 in words is "thirty-four billion, three hundred sixty-two million, nine hundred thirty thousand, two hundred forty".