3433748000 has 96 divisors (see below), whose sum is σ = 8665111728. Its totient is φ = 1336320000.

The previous prime is 3433747973. The next prime is 3433748041. The reversal of 3433748000 is 8473343.

It can be written as a sum of positive squares in 8 ways, for example, as 1318851856 + 2114896144 = 36316^2 + 45988^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136400 + ... + 159600.

Almost surely, 2^3433748000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3433748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332555864).

3433748000 is an abundant number, since it is smaller than the sum of its proper divisors (5231363728).

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

3433748000 is a wasteful number, since it uses less digits than its factorization.

3433748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23263 (or 23245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 3433748000 is about 58598.1910983607. The cubic root of 3433748000 is about 1508.6533906313.

The spelling of 3433748000 in words is "three billion, four hundred thirty-three million, seven hundred forty-eight thousand".