3787914240 has 704 divisors, whose sum is σ = 15280773120. Its totient is φ = 881786880.

The previous prime is 3787914239. The next prime is 3787914259. The reversal of 3787914240 is 424197873.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71470054 + ... + 71470106.

Almost surely, 2^3787914240 is an apocalyptic number.

3787914240 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 3787914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640386560).

3787914240 is an abundant number, since it is smaller than the sum of its proper divisors (11492858880).

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

3787914240 is a wasteful number, since it uses less digits than its factorization.

3787914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3787914240 is about 61546.0335033867. The cubic root of 3787914240 is about 1558.8346326105.

The spelling of 3787914240 in words is "three billion, seven hundred eighty-seven million, nine hundred fourteen thousand, two hundred forty".