3772410480 has 480 divisors, whose sum is σ = 14223643200. Its totient is φ = 891813888.

The previous prime is 3772410457. The next prime is 3772410487. The reversal of 3772410480 is 840142773.

It is a happy number.

3772410480 is a `hidden beast` number, since 377 + 241 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×3772410480² = 28462161659227660800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3772410487) 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, 14678512 + ... + 14678768.

It is an arithmetic number, because the mean of its divisors is an integer number (29632590).

Almost surely, 2^3772410480 is an apocalyptic number.

3772410480 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 3772410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111821600).

3772410480 is an abundant number, since it is smaller than the sum of its proper divisors (10451232720).

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

3772410480 is a wasteful number, since it uses less digits than its factorization.

3772410480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3772410480 is about 61419.9518072100. The cubic root of 3772410480 is about 1556.7049781151.

The spelling of 3772410480 in words is "three billion, seven hundred seventy-two million, four hundred ten thousand, four hundred eighty".