3762720 has 192 divisors, whose sum is σ = 14394240. Its totient is φ = 912384.

The previous prime is 3762719. The next prime is 3762739. The reversal of 3762720 is 272673.

3762720 is a `hidden beast` number, since 37 + 627 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56127 + ... + 56193.

It is an arithmetic number, because the mean of its divisors is an integer number (74970).

Almost surely, 2^3762720 is an apocalyptic number.

3762720 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 3762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

3762720 is an abundant number, since it is smaller than the sum of its proper divisors (10631520).

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

3762720 is a wasteful number, since it uses less digits than its factorization.

3762720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3762720 is about 1939.7731826170. The cubic root of 3762720 is about 155.5370892667.

The spelling of 3762720 in words is "three million, seven hundred sixty-two thousand, seven hundred twenty".