3457953040 has 80 divisors (see below), whose sum is σ = 8377588800. Its totient is φ = 1325753856.

The previous prime is 3457952999. The next prime is 3457953047. The reversal of 3457953040 is 403597543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3457952984 and 3457953002.

It is not an unprimeable number, because it can be changed into a prime (3457953047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317119 + ... + 327841.

It is an arithmetic number, because the mean of its divisors is an integer number (104719860).

Almost surely, 2^3457953040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188794400).

3457953040 is an abundant number, since it is smaller than the sum of its proper divisors (4919635760).

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

3457953040 is a wasteful number, since it uses less digits than its factorization.

3457953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10904 (or 10898 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The square root of 3457953040 is about 58804.3624232080. The cubic root of 3457953040 is about 1512.1900067292.

The spelling of 3457953040 in words is "three billion, four hundred fifty-seven million, nine hundred fifty-three thousand, forty".