3774024000 has 672 divisors, whose sum is σ = 14686873344. Its totient is φ = 922521600.

The previous prime is 3774023999. The next prime is 3774024029. The reversal of 3774024000 is 4204773.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71207974 + ... + 71208026.

Almost surely, 2^3774024000 is an apocalyptic number.

3774024000 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 3774024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343436672).

3774024000 is an abundant number, since it is smaller than the sum of its proper divisors (10912849344).

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

3774024000 is a wasteful number, since it uses less digits than its factorization.

3774024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 3774024000 is about 61433.0855484241. The cubic root of 3774024000 is about 1556.9268889778.

Adding to 3774024000 its reverse (4204773), we get a palindrome (3778228773).

The spelling of 3774024000 in words is "three billion, seven hundred seventy-four million, twenty-four thousand".