3891363840 has 768 divisors, whose sum is σ = 17175412800. Its totient is φ = 792723456.

The previous prime is 3891363787. The next prime is 3891363899. The reversal of 3891363840 is 483631983.

3891363840 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134184946 + ... + 134184974.

Almost surely, 2^3891363840 is an apocalyptic number.

3891363840 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 3891363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587706400).

3891363840 is an abundant number, since it is smaller than the sum of its proper divisors (13284048960).

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

3891363840 is a wasteful number, since it uses less digits than its factorization.

3891363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3891363840 is about 62380.7970452446. The cubic root of 3891363840 is about 1572.8981911309.

The spelling of 3891363840 in words is "three billion, eight hundred ninety-one million, three hundred sixty-three thousand, eight hundred forty".