3677079348 has 96 divisors (see below), whose sum is σ = 10112256000. Its totient is φ = 1152234720.

The previous prime is 3677079319. The next prime is 3677079401. The reversal of 3677079348 is 8439707763.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3677079294 and 3677079303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261973 + ... + 275651.

It is an arithmetic number, because the mean of its divisors is an integer number (105336000).

Almost surely, 2^3677079348 is an apocalyptic number.

3677079348 is a gapful number since it is divisible by the number (38) 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 3677079348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056128000).

3677079348 is an abundant number, since it is smaller than the sum of its proper divisors (6435176652).

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

3677079348 is a wasteful number, since it uses less digits than its factorization.

3677079348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13842 (or 13834 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 3677079348 is about 60638.9260129168. The cubic root of 3677079348 is about 1543.4799792651.

The spelling of 3677079348 in words is "three billion, six hundred seventy-seven million, seventy-nine thousand, three hundred forty-eight".