3773975040 has 240 divisors, whose sum is σ = 14259506976. Its totient is φ = 914841600.

The previous prime is 3773975021. The next prime is 3773975063. The reversal of 3773975040 is 405793773.

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245995 + ... + 260885.

Almost surely, 2^3773975040 is an apocalyptic number.

3773975040 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 3773975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129753488).

3773975040 is an abundant number, since it is smaller than the sum of its proper divisors (10485531936).

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

3773975040 is a wasteful number, since it uses less digits than its factorization.

3773975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 3773975040 is about 61432.6870647866. The cubic root of 3773975040 is about 1556.9201563347.

The spelling of 3773975040 in words is "three billion, seven hundred seventy-three million, nine hundred seventy-five thousand, forty".