3415142640 has 160 divisors (see below), whose sum is σ = 13030166016. Its totient is φ = 720552960.

The previous prime is 3415142639. The next prime is 3415142659. The reversal of 3415142640 is 462415143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3415142598 and 3415142607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56346 + ... + 100025.

Almost surely, 2^3415142640 is an apocalyptic number.

3415142640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3415142640 is an abundant number, since it is smaller than the sum of its proper divisors (9615023376).

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

3415142640 is a wasteful number, since it uses less digits than its factorization.

3415142640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156407 (or 156401 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3415142640 is about 58439.2217607319. The cubic root of 3415142640 is about 1505.9236340241.

Adding to 3415142640 its reverse (462415143), we get a palindrome (3877557783).

The spelling of 3415142640 in words is "three billion, four hundred fifteen million, one hundred forty-two thousand, six hundred forty".