3752034000 has 320 divisors, whose sum is σ = 14214590208. Its totient is φ = 839424000.

The previous prime is 3752033983. The next prime is 3752034001. The reversal of 3752034000 is 4302573.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3752034001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 855814 + ... + 860186.

Almost surely, 2^3752034000 is an apocalyptic number.

3752034000 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 3752034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107295104).

3752034000 is an abundant number, since it is smaller than the sum of its proper divisors (10462556208).

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

3752034000 is a wasteful number, since it uses less digits than its factorization.

3752034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 3752034000 is about 61253.8488586636. The cubic root of 3752034000 is about 1553.8970960252.

Adding to 3752034000 its reverse (4302573), we get a palindrome (3756336573).

The spelling of 3752034000 in words is "three billion, seven hundred fifty-two million, thirty-four thousand".