3758732640 has 768 divisors, whose sum is σ = 15606743040. Its totient is φ = 836075520.

The previous prime is 3758732603. The next prime is 3758732669. The reversal of 3758732640 is 462378573.

3758732640 is a `hidden beast` number, since 3 + 7 + 587 + 3 + 2 + 64 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 29596257 + ... + 29596383.

It is an arithmetic number, because the mean of its divisors is an integer number (20321280).

Almost surely, 2^3758732640 is an apocalyptic number.

3758732640 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 3758732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803371520).

3758732640 is an abundant number, since it is smaller than the sum of its proper divisors (11848010400).

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

3758732640 is a wasteful number, since it uses less digits than its factorization.

3758732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3758732640 is about 61308.5038147238. The cubic root of 3758732640 is about 1554.8212888640.

The spelling of 3758732640 in words is "three billion, seven hundred fifty-eight million, seven hundred thirty-two thousand, six hundred forty".