34700927040 has 448 divisors, whose sum is σ = 132511921920. Its totient is φ = 8497889280.

The previous prime is 34700926991. The next prime is 34700927047. The reversal of 34700927040 is 4072900743.

34700927040 is a `hidden beast` number, since 347 + 0 + 0 + 9 + 270 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 34700926986 and 34700927004.

It is not an unprimeable number, because it can be changed into a prime (34700927047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25495960 + ... + 25497320.

It is an arithmetic number, because the mean of its divisors is an integer number (295785540).

Almost surely, 2^34700927040 is an apocalyptic number.

34700927040 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 34700927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66255960960).

34700927040 is an abundant number, since it is smaller than the sum of its proper divisors (97810994880).

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

34700927040 is a wasteful number, since it uses less digits than its factorization.

34700927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 34700927040 in words is "thirty-four billion, seven hundred million, nine hundred twenty-seven thousand, forty".