3772986240 has 128 divisors (see below), whose sum is σ = 12549427200. Its totient is φ = 962373632.

The previous prime is 3772986233. The next prime is 3772986251. The reversal of 3772986240 is 426892773.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3772986240.

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 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 86879.

It is an arithmetic number, because the mean of its divisors is an integer number (98042400).

Almost surely, 2^3772986240 is an apocalyptic number.

3772986240 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 3772986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274713600).

3772986240 is an abundant number, since it is smaller than the sum of its proper divisors (8776440960).

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

3772986240 is a wasteful number, since it uses less digits than its factorization.

3772986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85484 (or 85472 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3772986240 is about 61424.6387046762. The cubic root of 3772986240 is about 1556.7841708813.

The spelling of 3772986240 in words is "three billion, seven hundred seventy-two million, nine hundred eighty-six thousand, two hundred forty".