3787284480 has 672 divisors, whose sum is σ = 15329769696. Its totient is φ = 792723456.

The previous prime is 3787284451. The next prime is 3787284481. The reversal of 3787284480 is 844827873.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787284481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102359022 + ... + 102359058.

Almost surely, 2^3787284480 is an apocalyptic number.

3787284480 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 3787284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664884848).

3787284480 is an abundant number, since it is smaller than the sum of its proper divisors (11542485216).

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

3787284480 is a wasteful number, since it uses less digits than its factorization.

3787284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The square root of 3787284480 is about 61540.9171202380. The cubic root of 3787284480 is about 1558.7482397617.

The spelling of 3787284480 in words is "three billion, seven hundred eighty-seven million, two hundred eighty-four thousand, four hundred eighty".