3790130400 has 432 divisors, whose sum is σ = 15950072880. Its totient is φ = 866073600.

The previous prime is 3790130387. The next prime is 3790130413. The reversal of 3790130400 is 40310973.

It is an interprime number because it is at equal distance from previous prime (3790130387) and next prime (3790130413).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×3790130400³ (a number of 30 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1056610 + ... + 1060190.

It is an arithmetic number, because the mean of its divisors is an integer number (36921465).

Almost surely, 2^3790130400 is an apocalyptic number.

3790130400 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 3790130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975036440).

3790130400 is an abundant number, since it is smaller than the sum of its proper divisors (12159942480).

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

3790130400 is a wasteful number, since it uses less digits than its factorization.

3790130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3790130400 is about 61564.0349554835. The cubic root of 3790130400 is about 1559.1385776699.

The spelling of 3790130400 in words is "three billion, seven hundred ninety million, one hundred thirty thousand, four hundred".