3773552640 has 384 divisors, whose sum is σ = 14199494400. Its totient is φ = 843448320.

The previous prime is 3773552609. The next prime is 3773552663. The reversal of 3773552640 is 462553773.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3773552592 and 3773552601.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4392531 + ... + 4393389.

It is an arithmetic number, because the mean of its divisors is an integer number (36977850).

Almost surely, 2^3773552640 is an apocalyptic number.

3773552640 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 3773552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099747200).

3773552640 is an abundant number, since it is smaller than the sum of its proper divisors (10425941760).

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

3773552640 is a wasteful number, since it uses less digits than its factorization.

3773552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The square root of 3773552640 is about 61429.2490593854. The cubic root of 3773552640 is about 1556.8620683679.

The spelling of 3773552640 in words is "three billion, seven hundred seventy-three million, five hundred fifty-two thousand, six hundred forty".