3741050400 has 72 divisors (see below), whose sum is σ = 12177126864. Its totient is φ = 997612800.

The previous prime is 3741050393. The next prime is 3741050407. The reversal of 3741050400 is 40501473.

It is an interprime number because it is at equal distance from previous prime (3741050393) and next prime (3741050407).

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

It is not an unprimeable number, because it can be changed into a prime (3741050407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776986 + ... + 781785.

It is an arithmetic number, because the mean of its divisors is an integer number (169126762).

Almost surely, 2^3741050400 is an apocalyptic number.

3741050400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3741050400 is an abundant number, since it is smaller than the sum of its proper divisors (8436076464).

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

3741050400 is a wasteful number, since it uses less digits than its factorization.

3741050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558794 (or 1558781 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3741050400 is about 61164.1267410890. The cubic root of 3741050400 is about 1552.3793356604.

Adding to 3741050400 its reverse (40501473), we get a palindrome (3781551873).

The spelling of 3741050400 in words is "three billion, seven hundred forty-one million, fifty thousand, four hundred".