3402140400 has 120 divisors (see below), whose sum is σ = 12109138160. Its totient is φ = 907234560.

The previous prime is 3402140387. The next prime is 3402140407. The reversal of 3402140400 is 40412043.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402140407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146707 + ... + 168306.

Almost surely, 2^3402140400 is an apocalyptic number.

3402140400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402140400 is an abundant number, since it is smaller than the sum of its proper divisors (8706997760).

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

3402140400 is a wasteful number, since it uses less digits than its factorization.

3402140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315040 (or 315023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3402140400 is about 58327.8698393830. The cubic root of 3402140400 is about 1504.0100700058.

Adding to 3402140400 its reverse (40412043), we get a palindrome (3442552443).

The spelling of 3402140400 in words is "three billion, four hundred two million, one hundred forty thousand, four hundred".