2738934000 has 800 divisors, whose sum is σ = 11375432640. Its totient is φ = 628992000.

The previous prime is 2738933993. The next prime is 2738934013. The reversal of 2738934000 is 4398372.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51677974 + ... + 51678026.

Almost surely, 2^2738934000 is an apocalyptic number.

2738934000 is a gapful number since it is divisible by the number (20) 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 2738934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687716320).

2738934000 is an abundant number, since it is smaller than the sum of its proper divisors (8636498640).

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

2738934000 is a wasteful number, since it uses less digits than its factorization.

2738934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2738934000 is about 52334.8258810517. The cubic root of 2738934000 is about 1399.1379046199.

The spelling of 2738934000 in words is "two billion, seven hundred thirty-eight million, nine hundred thirty-four thousand".