3970416240 has 240 divisors, whose sum is σ = 15361302528. Its totient is φ = 900232704.

The previous prime is 3970416221. The next prime is 3970416253. The reversal of 3970416240 is 426140793.

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 = 3970416195 and 3970416204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 636979 + ... + 643181.

Almost surely, 2^3970416240 is an apocalyptic number.

3970416240 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 3970416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680651264).

3970416240 is an abundant number, since it is smaller than the sum of its proper divisors (11390886288).

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

3970416240 is a wasteful number, since it uses less digits than its factorization.

3970416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3970416240 is about 63011.2389974995. The cubic root of 3970416240 is about 1583.4779232930.

The spelling of 3970416240 in words is "three billion, nine hundred seventy million, four hundred sixteen thousand, two hundred forty".