3762480 has 80 divisors (see below), whose sum is σ = 11901024. Its totient is φ = 983040.

The previous prime is 3762469. The next prime is 3762497. The reversal of 3762480 is 842673.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14512 + ... + 14768.

Almost surely, 2^3762480 is an apocalyptic number.

3762480 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 3762480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950512).

3762480 is an abundant number, since it is smaller than the sum of its proper divisors (8138544).

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

3762480 is a wasteful number, since it uses less digits than its factorization.

3762480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3762480 is about 1939.7113187276. The cubic root of 3762480 is about 155.5337822889.

The spelling of 3762480 in words is "three million, seven hundred sixty-two thousand, four hundred eighty".