3699777240 has 192 divisors, whose sum is σ = 12721026240. Its totient is φ = 930631680.

The previous prime is 3699777239. The next prime is 3699777241. The reversal of 3699777240 is 427779963.

3699777240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3699777239) and next prime (3699777241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3699777241) 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, 601380 + ... + 607500.

It is an arithmetic number, because the mean of its divisors is an integer number (66255345).

Almost surely, 2^3699777240 is an apocalyptic number.

3699777240 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 3699777240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360513120).

3699777240 is an abundant number, since it is smaller than the sum of its proper divisors (9021249000).

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

3699777240 is a wasteful number, since it uses less digits than its factorization.

3699777240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 3699777240 is about 60825.7941995006. The cubic root of 3699777240 is about 1546.6493336428.

The spelling of 3699777240 in words is "three billion, six hundred ninety-nine million, seven hundred seventy-seven thousand, two hundred forty".