3749450400 has 216 divisors, whose sum is σ = 13439819484. Its totient is φ = 983347200.

The previous prime is 3749450359. The next prime is 3749450447. The reversal of 3749450400 is 40549473.

3749450400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1058331024 + 2691119376 = 32532^2 + 51876^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 434932 + ... + 443468.

Almost surely, 2^3749450400 is an apocalyptic number.

3749450400 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 3749450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719909742).

3749450400 is an abundant number, since it is smaller than the sum of its proper divisors (9690369084).

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

3749450400 is a wasteful number, since it uses less digits than its factorization.

3749450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3749450400 is about 61232.7559399379. The cubic root of 3749450400 is about 1553.5403499360.

Adding to 3749450400 its reverse (40549473), we get a palindrome (3789999873).

The spelling of 3749450400 in words is "three billion, seven hundred forty-nine million, four hundred fifty thousand, four hundred".