3672348840 has 320 divisors, whose sum is σ = 13295644560. Its totient is φ = 905748480.

The previous prime is 3672348839. The next prime is 3672348863. The reversal of 3672348840 is 488432763.

3672348840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2225763684 + 1446585156 = 47178^2 + 38034^2 .

It is a super-2 number, since 2×3672348840² = 26972292005298691200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3359334 + ... + 3360426.

Almost surely, 2^3672348840 is an apocalyptic number.

3672348840 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 3672348840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647822280).

3672348840 is an abundant number, since it is smaller than the sum of its proper divisors (9623295720).

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

3672348840 is a wasteful number, since it uses less digits than its factorization.

3672348840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3672348840 is about 60599.9079207221. The cubic root of 3672348840 is about 1542.8178071982.

The spelling of 3672348840 in words is "three billion, six hundred seventy-two million, three hundred forty-eight thousand, eight hundred forty".