1370006400 has 768 divisors, whose sum is σ = 5767488000. Its totient is φ = 278691840.

The previous prime is 1370006347. The next prime is 1370006401. The reversal of 1370006400 is 46000731.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37027182 + ... + 37027218.

It is an arithmetic number, because the mean of its divisors is an integer number (7509750).

Almost surely, 2^1370006400 is an apocalyptic number.

1370006400 is a gapful number since it is divisible by the number (10) 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 1370006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883744000).

1370006400 is an abundant number, since it is smaller than the sum of its proper divisors (4397481600).

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

1370006400 is a wasteful number, since it uses less digits than its factorization.

1370006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1370006400 is about 37013.5975014588. The cubic root of 1370006400 is about 1110.6422709386.

The spelling of 1370006400 in words is "one billion, three hundred seventy million, six thousand, four hundred".