340033323400 has 192 divisors, whose sum is σ = 842544354960. Its totient is φ = 127180800000.

The previous prime is 340033323359. The next prime is 340033323437. The reversal of 340033323400 is 4323330043.

It can be written as a sum of positive squares in 24 ways, for example, as 14099662564 + 325933660836 = 118742^2 + 570906^2 .

It is a super-2 number, since 2×340033323400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628527130 + ... + 628527670.

Almost surely, 2^340033323400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340033323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421272177480).

340033323400 is an abundant number, since it is smaller than the sum of its proper divisors (502511031560).

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

340033323400 is a wasteful number, since it uses less digits than its factorization.

340033323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 340033323400 its reverse (4323330043), we get a palindrome (344356653443).

It can be divided in two parts, 3400 and 33323400, that multiplied together give a square (113299560000 = 336600²).

The spelling of 340033323400 in words is "three hundred forty billion, thirty-three million, three hundred twenty-three thousand, four hundred".