3400072883640 has 896 divisors, whose sum is σ = 12373277644800. Its totient is φ = 838766638080.

The previous prime is 3400072883629. The next prime is 3400072883663. The reversal of 3400072883640 is 463882700043.

3400072883640 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 7 + 288 + 364 + 0 = 666.

3400072883640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3400072883640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1973343819 + ... + 1973345541.

Almost surely, 2^{3400072883640} is an apocalyptic number.

3400072883640 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 3400072883640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186638822400).

3400072883640 is an abundant number, since it is smaller than the sum of its proper divisors (8973204761160).

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

3400072883640 is a wasteful number, since it uses less digits than its factorization.

3400072883640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3400072883640 in words is "three trillion, four hundred billion, seventy-two million, eight hundred eighty-three thousand, six hundred forty".