3974711040 has 288 divisors, whose sum is σ = 14410690560. Its totient is φ = 1036947456.

The previous prime is 3974711021. The next prime is 3974711053. The reversal of 3974711040 is 401174793.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3974710986 and 3974711004.

It is a congruent number.

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, 1623097 + ... + 1625543.

It is an arithmetic number, because the mean of its divisors is an integer number (50037120).

Almost surely, 2^3974711040 is an apocalyptic number.

3974711040 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 3974711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205345280).

3974711040 is an abundant number, since it is smaller than the sum of its proper divisors (10435979520).

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

3974711040 is a wasteful number, since it uses less digits than its factorization.

3974711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3974711040 is about 63045.3094210822. The cubic root of 3974711040 is about 1584.0486670079.

The spelling of 3974711040 in words is "three billion, nine hundred seventy-four million, seven hundred eleven thousand, forty".