3674317920 has 576 divisors, whose sum is σ = 14811926976. Its totient is φ = 758661120.

The previous prime is 3674317903. The next prime is 3674317937. The reversal of 3674317920 is 297134763.

It is an interprime number because it is at equal distance from previous prime (3674317903) and next prime (3674317937).

It is a super-3 number, since 3×3674317920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18651262 + ... + 18651458.

It is an arithmetic number, because the mean of its divisors is an integer number (25715151).

Almost surely, 2^3674317920 is an apocalyptic number.

3674317920 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 3674317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405963488).

3674317920 is an abundant number, since it is smaller than the sum of its proper divisors (11137609056).

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

3674317920 is a wasteful number, since it uses less digits than its factorization.

3674317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 3674317920 is about 60616.1523028310. The cubic root of 3674317920 is about 1543.0935062137.

The spelling of 3674317920 in words is "three billion, six hundred seventy-four million, three hundred seventeen thousand, nine hundred twenty".