3774007000 has 64 divisors (see below), whose sum is σ = 8845293600. Its totient is φ = 1507190400.

The previous prime is 3774006983. The next prime is 3774007007. The reversal of 3774007000 is 7004773.

3774007000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3774007000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774007007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706339 + ... + 711661.

Almost surely, 2^3774007000 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 3774007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422646800).

3774007000 is an abundant number, since it is smaller than the sum of its proper divisors (5071286600).

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

3774007000 is a wasteful number, since it uses less digits than its factorization.

3774007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 28.

The square root of 3774007000 is about 61432.9471863429. The cubic root of 3774007000 is about 1556.9245512611.

It can be divided in two parts, 377400 and 7000, that added together give a square (384400 = 620²).

The spelling of 3774007000 in words is "three billion, seven hundred seventy-four million, seven thousand".