3998776320 has 1056 divisors, whose sum is σ = 18393523200. Its totient is φ = 794787840.

The previous prime is 3998776291. The next prime is 3998776321. The reversal of 3998776320 is 236778993.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998776321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173859829 + ... + 173859851.

Almost surely, 2^3998776320 is an apocalyptic number.

3998776320 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 3998776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196761600).

3998776320 is an abundant number, since it is smaller than the sum of its proper divisors (14394746880).

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

3998776320 is a wasteful number, since it uses less digits than its factorization.

3998776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 3998776320 is about 63235.8784235658. The cubic root of 3998776320 is about 1587.2391628821.

The spelling of 3998776320 in words is "three billion, nine hundred ninety-eight million, seven hundred seventy-six thousand, three hundred twenty".