3787770240 has 384 divisors, whose sum is σ = 13747013280. Its totient is φ = 959938560.

The previous prime is 3787770209. The next prime is 3787770257. The reversal of 3787770240 is 420777873.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 10154694 + ... + 10155066.

Almost surely, 2^3787770240 is an apocalyptic number.

3787770240 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 3787770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873506640).

3787770240 is an abundant number, since it is smaller than the sum of its proper divisors (9959243040).

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

3787770240 is a wasteful number, since it uses less digits than its factorization.

3787770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 3787770240 is about 61544.8636362126. The cubic root of 3787770240 is about 1558.8148789926.

The spelling of 3787770240 in words is "three billion, seven hundred eighty-seven million, seven hundred seventy thousand, two hundred forty".