3697488000 has 448 divisors, whose sum is σ = 13826493720. Its totient is φ = 982886400.

The previous prime is 3697487939. The next prime is 3697488007. The reversal of 3697488000 is 8847963.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 321413184 + 3376074816 = 17928^2 + 58104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3697488007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11663842 + ... + 11664158.

Almost surely, 2^3697488000 is an apocalyptic number.

3697488000 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 3697488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913246860).

3697488000 is an abundant number, since it is smaller than the sum of its proper divisors (10129005720).

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

3697488000 is an frugal number, since it uses more digits than its factorization.

3697488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3697488000 is about 60806.9732843199. The cubic root of 3697488000 is about 1546.3302710072.

The spelling of 3697488000 in words is "three billion, six hundred ninety-seven million, four hundred eighty-eight thousand".