34457940 has 96 divisors (see below), whose sum is σ = 116968320. Its totient is φ = 8352000.

The previous prime is 34457923. The next prime is 34457953. The reversal of 34457940 is 4975443.

34457940 is a `hidden beast` number, since 3 + 44 + 579 + 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 = 34457895 and 34457904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040 + ... + 8840.

It is an arithmetic number, because the mean of its divisors is an integer number (1218420).

Almost surely, 2^34457940 is an apocalyptic number.

34457940 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 34457940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58484160).

34457940 is an abundant number, since it is smaller than the sum of its proper divisors (82510380).

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

34457940 is a wasteful number, since it uses less digits than its factorization.

34457940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34457940 is about 5870.0885853622. The cubic root of 34457940 is about 325.4091572610.

The spelling of 34457940 in words is "thirty-four million, four hundred fifty-seven thousand, nine hundred forty".