3962415240 has 256 divisors, whose sum is σ = 15217459200. Its totient is φ = 898345728.

The previous prime is 3962415221. The next prime is 3962415271. The reversal of 3962415240 is 425142693.

It is a happy number.

3962415240 is a `hidden beast` number, since 3 + 9 + 624 + 1 + 5 + 24 + 0 = 666.

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 = 3962415195 and 3962415204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958057 + ... + 962183.

It is an arithmetic number, because the mean of its divisors is an integer number (59443200).

Almost surely, 2^3962415240 is an apocalyptic number.

3962415240 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 3962415240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608729600).

3962415240 is an abundant number, since it is smaller than the sum of its proper divisors (11255043960).

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

3962415240 is a wasteful number, since it uses less digits than its factorization.

3962415240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3962415240 is about 62947.7183065439. The cubic root of 3962415240 is about 1582.4135574175.

The spelling of 3962415240 in words is "three billion, nine hundred sixty-two million, four hundred fifteen thousand, two hundred forty".