3974322240 has 224 divisors, whose sum is σ = 16023701760. Its totient is φ = 908402688.

The previous prime is 3974322239. The next prime is 3974322263. The reversal of 3974322240 is 422234793.

It is a happy number.

3974322240 is a `hidden beast` number, since 3 + 97 + 4 + 322 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 3974322195 and 3974322204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27624 + ... + 93336.

Almost surely, 2^3974322240 is an apocalyptic number.

3974322240 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 3974322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011850880).

3974322240 is an abundant number, since it is smaller than the sum of its proper divisors (12049379520).

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

3974322240 is a wasteful number, since it uses less digits than its factorization.

3974322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65746 (or 65730 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3974322240 is about 63042.2258490292. The cubic root of 3974322240 is about 1583.9970156050.

The spelling of 3974322240 in words is "three billion, nine hundred seventy-four million, three hundred twenty-two thousand, two hundred forty".