3402455040 has 144 divisors (see below), whose sum is σ = 11792617200. Its totient is φ = 907296768.

The previous prime is 3402455033. The next prime is 3402455041. The reversal of 3402455040 is 405542043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3402454995 and 3402455013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402455041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73701 + ... + 110619.

It is an arithmetic number, because the mean of its divisors is an integer number (81893175).

Almost surely, 2^3402455040 is an apocalyptic number.

3402455040 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 3402455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896308600).

3402455040 is an abundant number, since it is smaller than the sum of its proper divisors (8390162160).

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

3402455040 is a wasteful number, since it uses less digits than its factorization.

3402455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36952 (or 36929 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3402455040 is about 58330.5669439274. The cubic root of 3402455040 is about 1504.0564336754.

Adding to 3402455040 its reverse (405542043), we get a palindrome (3807997083).

The spelling of 3402455040 in words is "three billion, four hundred two million, four hundred fifty-five thousand, forty".