3916401840 has 240 divisors, whose sum is σ = 14689872288. Its totient is φ = 963975168.

The previous prime is 3916401817. The next prime is 3916401871. The reversal of 3916401840 is 481046193.

3916401840 is a `hidden beast` number, since 3 + 9 + 1 + 640 + 1 + 8 + 4 + 0 = 666.

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

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 = 3916401795 and 3916401804.

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 47 ways as a sum of consecutive naturals, for example, 244972 + ... + 260468.

Almost surely, 2^3916401840 is an apocalyptic number.

3916401840 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 3916401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344936144).

3916401840 is an abundant number, since it is smaller than the sum of its proper divisors (10773470448).

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

3916401840 is a wasteful number, since it uses less digits than its factorization.

3916401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15538 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3916401840 is about 62581.1620218097. The cubic root of 3916401840 is about 1576.2644539771.

The spelling of 3916401840 in words is "three billion, nine hundred sixteen million, four hundred one thousand, eight hundred forty".