3673753380 has 480 divisors, whose sum is σ = 13585283712. Its totient is φ = 821145600.

The previous prime is 3673753357. The next prime is 3673753393. The reversal of 3673753380 is 833573763.

3673753380 is a `hidden beast` number, since 3 + 6 + 7 + 37 + 533 + 80 = 666.

3673753380 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3673753380² = 26992927794122848800, which contains 22 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20296890 + ... + 20297070.

Almost surely, 2^3673753380 is an apocalyptic number.

3673753380 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 3673753380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792641856).

3673753380 is an abundant number, since it is smaller than the sum of its proper divisors (9911530332).

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

3673753380 is a wasteful number, since it uses less digits than its factorization.

3673753380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3673753380 is about 60611.4954443462. The cubic root of 3673753380 is about 1543.0144727127.

The spelling of 3673753380 in words is "three billion, six hundred seventy-three million, seven hundred fifty-three thousand, three hundred eighty".