7340004000 has 1152 divisors, whose sum is σ = 33163603200. Its totient is φ = 1567641600.

The previous prime is 7340003999. The next prime is 7340004059. The reversal of 7340004000 is 4000437.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100547964 + ... + 100548036.

It is an arithmetic number, because the mean of its divisors is an integer number (28787850).

Almost surely, 2^7340004000 is an apocalyptic number.

7340004000 is a gapful number since it is divisible by the number (70) 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 7340004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581801600).

7340004000 is an abundant number, since it is smaller than the sum of its proper divisors (25823599200).

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

7340004000 is a wasteful number, since it uses less digits than its factorization.

7340004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 7340004000 is about 85673.8233067721. The cubic root of 7340004000 is about 1943.4144708149.

Adding to 7340004000 its reverse (4000437), we get a palindrome (7344004437).

The spelling of 7340004000 in words is "seven billion, three hundred forty million, four thousand".