3997045440 has 560 divisors, whose sum is σ = 15454530432. Its totient is φ = 976748544.

The previous prime is 3997045439. The next prime is 3997045469. The reversal of 3997045440 is 445407993.

It is a happy number.

3997045440 is a `hidden beast` number, since 3 + 99 + 70 + 454 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20709984 + ... + 20710176.

Almost surely, 2^3997045440 is an apocalyptic number.

3997045440 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 3997045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727265216).

3997045440 is an abundant number, since it is smaller than the sum of its proper divisors (11457484992).

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

3997045440 is a wasteful number, since it uses less digits than its factorization.

3997045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3997045440 is about 63222.1910408047. The cubic root of 3997045440 is about 1587.0101163945.

The spelling of 3997045440 in words is "three billion, nine hundred ninety-seven million, forty-five thousand, four hundred forty".