3671344980 has 192 divisors, whose sum is σ = 11955444480. Its totient is φ = 934322688.

The previous prime is 3671344969. The next prime is 3671345011. The reversal of 3671344980 is 894431763.

3671344980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057207 + ... + 1060673.

It is an arithmetic number, because the mean of its divisors is an integer number (62267940).

Almost surely, 2^3671344980 is an apocalyptic number.

3671344980 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 3671344980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977722240).

3671344980 is an abundant number, since it is smaller than the sum of its proper divisors (8284099500).

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

3671344980 is a wasteful number, since it uses less digits than its factorization.

3671344980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3671344980 is about 60591.6246687609. The cubic root of 3671344980 is about 1542.6772146878.

The spelling of 3671344980 in words is "three billion, six hundred seventy-one million, three hundred forty-four thousand, nine hundred eighty".