3974100480 has 480 divisors, whose sum is σ = 16140091968. Its totient is φ = 884736000.

The previous prime is 3974100479. The next prime is 3974100499. The reversal of 3974100480 is 840014793.

It is a happy number.

3974100480 is a `hidden beast` number, since 3 + 9 + 74 + 100 + 480 = 666.

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, 6612180 + ... + 6612780.

Almost surely, 2^3974100480 is an apocalyptic number.

3974100480 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 3974100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070045984).

3974100480 is an abundant number, since it is smaller than the sum of its proper divisors (12165991488).

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

3974100480 is a wasteful number, since it uses less digits than its factorization.

3974100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3974100480 is about 63040.4670033464. The cubic root of 3974100480 is about 1583.9675536666.

The spelling of 3974100480 in words is "three billion, nine hundred seventy-four million, one hundred thousand, four hundred eighty".