3734460000 has 180 divisors, whose sum is σ = 13271229972. Its totient is φ = 995808000.

The previous prime is 3734459983. The next prime is 3734460017. The reversal of 3734460000 is 644373.

It is an interprime number because it is at equal distance from previous prime (3734459983) and next prime (3734460017).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 169627 + ... + 190373.

Almost surely, 2^3734460000 is an apocalyptic number.

3734460000 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 3734460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635614986).

3734460000 is an abundant number, since it is smaller than the sum of its proper divisors (9536769972).

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

3734460000 is a wasteful number, since it uses less digits than its factorization.

3734460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20783 (or 20757 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3734460000 is about 61110.2282764514. The cubic root of 3734460000 is about 1551.4672197889.

It can be divided in two parts, 37344 and 60000, that added together give a square (97344 = 312²).

The spelling of 3734460000 in words is "three billion, seven hundred thirty-four million, four hundred sixty thousand".