3677406480 has 480 divisors, whose sum is σ = 14477823360. Its totient is φ = 859299840.

The previous prime is 3677406461. The next prime is 3677406511. The reversal of 3677406480 is 846047763.

It is a super-3 number, since 3×3677406480³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6201064 + ... + 6201656.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 2^3677406480 is an apocalyptic number.

3677406480 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 3677406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238911680).

3677406480 is an abundant number, since it is smaller than the sum of its proper divisors (10800416880).

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

3677406480 is a wasteful number, since it uses less digits than its factorization.

3677406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3677406480 is about 60641.6233291953. The cubic root of 3677406480 is about 1543.5257498955.

The spelling of 3677406480 in words is "three billion, six hundred seventy-seven million, four hundred six thousand, four hundred eighty".