3814602480 has 240 divisors, whose sum is σ = 13909109760. Its totient is φ = 931295232.

The previous prime is 3814602479. The next prime is 3814602497. The reversal of 3814602480 is 842064183.

3814602480 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 602 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1187116 + ... + 1190324.

It is an arithmetic number, because the mean of its divisors is an integer number (57954624).

Almost surely, 2^3814602480 is an apocalyptic number.

3814602480 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 3814602480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954554880).

3814602480 is an abundant number, since it is smaller than the sum of its proper divisors (10094507280).

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

3814602480 is a wasteful number, since it uses less digits than its factorization.

3814602480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3359 counting only the distinct ones).

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

The square root of 3814602480 is about 61762.4682149281. The cubic root of 3814602480 is about 1562.4870584955.

The spelling of 3814602480 in words is "three billion, eight hundred fourteen million, six hundred two thousand, four hundred eighty".