3861204480 has 480 divisors, whose sum is σ = 15511953600. Its totient is φ = 869400576.

The previous prime is 3861204467. The next prime is 3861204493. The reversal of 3861204480 is 844021683.

3861204480 is a `hidden beast` number, since 38 + 612 + 0 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3861204467) and next prime (3861204493).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14353786 + ... + 14354054.

It is an arithmetic number, because the mean of its divisors is an integer number (32316570).

Almost surely, 2^3861204480 is an apocalyptic number.

3861204480 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 3861204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755976800).

3861204480 is an abundant number, since it is smaller than the sum of its proper divisors (11650749120).

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

3861204480 is a wasteful number, since it uses less digits than its factorization.

3861204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3861204480 is about 62138.5909077443. The cubic root of 3861204480 is about 1568.8241537198.

The spelling of 3861204480 in words is "three billion, eight hundred sixty-one million, two hundred four thousand, four hundred eighty".