3402415440 has 240 divisors, whose sum is σ = 11684627136. Its totient is φ = 887040000.

The previous prime is 3402415427. The next prime is 3402415441. The reversal of 3402415440 is 445142043.

It is a happy number.

3402415440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402415441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12108100 + ... + 12108380.

Almost surely, 2^3402415440 is an apocalyptic number.

3402415440 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 3402415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842313568).

3402415440 is an abundant number, since it is smaller than the sum of its proper divisors (8282211696).

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

3402415440 is a wasteful number, since it uses less digits than its factorization.

3402415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3402415440 is about 58330.2274982706. The cubic root of 3402415440 is about 1504.0505985882.

Adding to 3402415440 its reverse (445142043), we get a palindrome (3847557483).

The spelling of 3402415440 in words is "three billion, four hundred two million, four hundred fifteen thousand, four hundred forty".