3658739760 has 320 divisors, whose sum is σ = 14042851200. Its totient is φ = 869363712.

The previous prime is 3658739759. The next prime is 3658739761. The reversal of 3658739760 is 679378563.

It is an interprime number because it is at equal distance from previous prime (3658739759) and next prime (3658739761).

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 = 3658739697 and 3658739706.

It is not an unprimeable number, because it can be changed into a prime (3658739761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812074 + ... + 816566.

It is an arithmetic number, because the mean of its divisors is an integer number (43883910).

Almost surely, 2^3658739760 is an apocalyptic number.

3658739760 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 3658739760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021425600).

3658739760 is an abundant number, since it is smaller than the sum of its proper divisors (10384111440).

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

3658739760 is a wasteful number, since it uses less digits than its factorization.

3658739760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3658739760 is about 60487.5173899541. The cubic root of 3658739760 is about 1540.9096441807.

The spelling of 3658739760 in words is "three billion, six hundred fifty-eight million, seven hundred thirty-nine thousand, seven hundred sixty".