3673313280 has 832 divisors, whose sum is σ = 16292881920. Its totient is φ = 764411904.

The previous prime is 3673313239. The next prime is 3673313291. The reversal of 3673313280 is 823133763.

It is a happy number.

3673313280 is a `hidden beast` number, since 3 + 67 + 3 + 313 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 50319324 + ... + 50319396.

Almost surely, 2^3673313280 is an apocalyptic number.

3673313280 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 3673313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146440960).

3673313280 is an abundant number, since it is smaller than the sum of its proper divisors (12619568640).

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

3673313280 is a wasteful number, since it uses less digits than its factorization.

3673313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3673313280 is about 60607.8648361745. The cubic root of 3673313280 is about 1542.9528547325.

The spelling of 3673313280 in words is "three billion, six hundred seventy-three million, three hundred thirteen thousand, two hundred eighty".