3916413540 has 72 divisors (see below), whose sum is σ = 12793625208. Its totient is φ = 964039680.

The previous prime is 3916413533. The next prime is 3916413541. The reversal of 3916413540 is 453146193.

3916413540 is a `hidden beast` number, since 3 + 9 + 1 + 641 + 3 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142277184 + 3774136356 = 11928^2 + 61434^2 .

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 = 3916413495 and 3916413504.

It is not an unprimeable number, because it can be changed into a prime (3916413541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834501 + ... + 839180.

It is an arithmetic number, because the mean of its divisors is an integer number (177689239).

Almost surely, 2^3916413540 is an apocalyptic number.

3916413540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3916413540 is an abundant number, since it is smaller than the sum of its proper divisors (8877211668).

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

3916413540 is a wasteful number, since it uses less digits than its factorization.

3916413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673709 (or 1673704 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3916413540 is about 62581.2555003493. The cubic root of 3916413540 is about 1576.2660236387.

The spelling of 3916413540 in words is "three billion, nine hundred sixteen million, four hundred thirteen thousand, five hundred forty".