3730406400 has 660 divisors, whose sum is σ = 15848005008. Its totient is φ = 849346560.

The previous prime is 3730406357. The next prime is 3730406413. The reversal of 3730406400 is 46040373.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14515072 + ... + 14515328.

Almost surely, 2^3730406400 is an apocalyptic number.

3730406400 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 3730406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924002504).

3730406400 is an abundant number, since it is smaller than the sum of its proper divisors (12117598608).

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

3730406400 is a wasteful number, since it uses less digits than its factorization.

3730406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3730406400 is about 61077.0529740917. The cubic root of 3730406400 is about 1550.9056656519.

Adding to 3730406400 its reverse (46040373), we get a palindrome (3776446773).

The spelling of 3730406400 in words is "three billion, seven hundred thirty million, four hundred six thousand, four hundred".