3674541024 has 864 divisors, whose sum is σ = 15097694976. Its totient is φ = 851005440.

The previous prime is 3674540999. The next prime is 3674541097. The reversal of 3674541024 is 4201454763.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3674541024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193396887 + ... + 193396905.

It is an arithmetic number, because the mean of its divisors is an integer number (17474184).

Almost surely, 2^3674541024 is an apocalyptic number.

3674541024 is a gapful number since it is divisible by the number (34) 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 3674541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548847488).

3674541024 is an abundant number, since it is smaller than the sum of its proper divisors (11423153952).

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

3674541024 is a wasteful number, since it uses less digits than its factorization.

3674541024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3674541024 is about 60617.9925764620. The cubic root of 3674541024 is about 1543.1247377124.

Adding to 3674541024 its reverse (4201454763), we get a palindrome (7875995787).

The spelling of 3674541024 in words is "three billion, six hundred seventy-four million, five hundred forty-one thousand, twenty-four".